>
Exams
>
Engineering Mathematics
>
Matrix Algebra
>
consider a leniar homogeneous system ax 0 where a
Question:
Consider a Leniar Homogeneous system AX = 0, where A is N × N matrix and X is N × 1 vector. When we solve this 0 is null matrix of N × 1. Let R be the rank matrix for a for a Non-trivial solution.
GATE CH
Updated On:
Jul 1, 2024
\(R = N\)
\(|A| ≠ 0\)
\(|A| = 0\)
\(R < N\)
Show Solution
Verified By Collegedunia
The Correct Option is
C,
D
Solution and Explanation
The correct answer is
\(|A| = 0\)
and
\(R < N\)
Download Solution in PDF
Was this answer helpful?
0
0
Top GATE CH Engineering Mathematics Questions
F(x) = e
x
- 5x and the value of X
0
= 1 then what will be the value of X
1
?
GATE CH
Engineering Mathematics
Functions of Single Variable
View Solution
The first non-zero term in the taylor series expansion of (1 - x) - e
- x
, about x = 0
GATE CH
Engineering Mathematics
Taylor series
View Solution
\(\frac{P}{Q}\)
is not equal 1,
\(\left(\frac{P}{Q}\right)^{\frac{P}{Q}} = P^{\frac{P}{Q} - 1}\)
GATE CH
Engineering Mathematics
Solutions of linear and non-linear algebraic equations
View Solution
What will be the argument of
\(\frac{Z_1}{Z_2}\)
=?
\(Z_1 = -1 + i\)
\(Z_2 = 2i\)
GATE CH
Engineering Mathematics
Complex number
View Solution
What will the correct pair of
\(μ\ \text{ and}\ σ\ ?\)
\(F(x) = \frac{4}{2\sqrt{\pi}} e^{-8(x + 3)^2}\)
GATE CH
Engineering Mathematics
Functions of Single Variable
View Solution
View More Questions
Top GATE CH Questions
Which are true for Petroleum / Petrochemicals?
GATE CH
Petroleum refining and petrochemicals
View Solution
F(x) = e
x
- 5x and the value of X
0
= 1 then what will be the value of X
1
?
GATE CH
Functions of Single Variable
View Solution
The first non-zero term in the taylor series expansion of (1 - x) - e
- x
, about x = 0
GATE CH
Taylor series
View Solution
\(\frac{P}{Q}\)
is not equal 1,
\(\left(\frac{P}{Q}\right)^{\frac{P}{Q}} = P^{\frac{P}{Q} - 1}\)
GATE CH
Solutions of linear and non-linear algebraic equations
View Solution
Choose correct option (Chlor-Alkoli Industry)
GATE CH
Theories of reaction rates
View Solution
View More Questions